Question

some students want to order shirts with their school logo.onr company charges $9.00 per shirt plus a setup fee for $43.another company charges$8.00 per shirt plus a 58 fee. for what number of shirts would the cost be the same? which company would be cheaper for an ordet 20 shirts

Answer 1

Let's let x be the number of t-shirts.

So the first company charges $43 plus $9 per shirt. For x shirts, the cost is the base fee plus 9 times x, or $C=9x+43$.

The second company charges a $58 fee plus $8 per shift. The cost is $C=8x+58$.

Now, we want to find which fee is less when we are buying 20 shirts. We plug in 20 for x.

The first company charges $C=9(20)+43=223$.

The second company charges $C=8(20)+58=218$.

The costs are VERY close, but the second company ultimately charges less.